Word Problems
Kiefer says that to find 13 x 76 he can find 26 x 152 using the double and half strategy? Is he correct? Why or why not?
No, he double doubled instead of double and halved. It should be 26 x 38
To find 8 x 28, I find 10 x 28 then take off two groups of 28
50 BONUS Points if you can write both possible expressions
(10 x 28) - (2 x 28)
OR
(10 x 28) - 56
A box has a length of 4, width of 6, and a height of 8. What is the total volume?
You must write an EXPRESSION, ANSWER, and LABEL
Expression: (4 x 6) x 8
Answer: 192 cubic units or 192 units3
384
Is 234 divisible by 3?
Yes, because (2 + 3 + 4 = 9 ... and 9 / 3 = evenly)
234 / 3 is 78
There are 456 students going on a field trip. If 37 students can fit on a bus, how many buses are needed?
13 buses
To find 34 x 23, I find 34 times 20 then add on 3 groups of 34
50 BONUS Points if you can write both possible expressions
(34 x 20) + (3 x 34)
OR
(34 x 20) + 102
A box has a volume of 48 inches with a height of 6 inches and width of 2 inches. What is the length in inches?
You must write an EXPRESSION, ANSWER, and LABEL
Expression: (___ x 2) x 6 = 48
OR 48 / (6 x 2) = ______
Answer: 4 inches
Find 54 x 18
972
What are ALL the factors that 48 and 56 have in common?
factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
factors of 56 = 1, 2, 4, 7, 8, 14, 28, 56
COMMON: 1, 2, 4, 8
A box can hold onto 1050 blocks. If it has a length of 6 and a height of 25, what is the width?
Width = 7
To find 48 x 93 I double and half
24 x 186
There is a box with dimensions of 5cm , width of 3cm, and height of 11cm and another box with a height of 12cm and a base of 6cm. What is the total volume of the two boxes?
You must write an EXPRESSION, ANSWER and label
Expression:( (5 x 3) x 11) + (6 x 12)
Answer: 237 cm cubed OR 237 cm3
Find 39 x 71
2769
You have a box that is 11 layers tall and 56 blocks in the base. Will it fit into drawer that is 600 cubic units?
50 BONUS Points if you can write an expression to represent this problem
No, it is 16 cubic units too big
BONUS: 600 - (56 x 11) = ?
You want to carry three boxes all at once to save on the amount of trips you have to make. One box measures 4 by 7 by 8. Another box has a height of 13 and a base of 3. The last box is teeny tiny and has volume that is half the size of the first box. What is the total volume of all three boxes?
50 BONUS Points: write an expression to represent the whole problem
Answer: 375 cubic units or 375 units3
BONUS: (4 x 7 x 8) + (3 x 13) + ( (4 x 7 x 8) / 2) )
OR (4 x 7 x 8) + (3 x 13) + ( (224) / 2) )
To find 250 x 35, I find 35 times 100 then double it then I add that to 35 times 100 cut in half
( (35 x 100) x 2) + ( (35 x 100) / 2) )
There are two DIFFERENT boxes stacked together that hold 480 blocks. What are the possible dimensions each box?
Answers vary, check that it equals 480 blocks
Examples: ( (6 x 4) x 10 ) + ( (10 x 8) x 3)
Find 143 x 6
858
You have a box that measures 12 inches by 24 inches by 3 inches. If a baseball takes up a 1 x 1 x 1 space, how many boxes do you need to fit 1728 baseballs?
50 BONUS points if you can write an expression to represent this entire problem
BONUS: 1728 - (12 x 24 x 3)
There are 2835 granola bars getting packaged into boxes. If 45 fit into a box, how many boxes do you need? What are all the possible dimensions the boxes could be packaged into a truck?
You must get BOTH answers correct to receive full points
Answer #1 = 63 boxes
Answer #2...
1 x 1 x 63
1 x 3 x 21
3 x 3 x 7
1 x 7 x 9
To find 17 x 256, I find 10 times 256, then add it to half of 256, then add on two more groups of 256
(10 x 256) + (256 / 2) + (256 x 2)
OR
(10 x 256) + (128) + (512)
You have four DIFFERENT boxes that have a total volume of 336. What are the possible dimensions of the four boxes?
No dimensions have a length of 1!!!
Answers vary, check that it equals 336
Example: (2 x 9 x 2) + (6 x 2 x 3) + (11 x 6 x 2) + (11 x 4 x 3)
Find 4724 x 6
28344
There are 360 cookies in a box. If you put them into gift bags of 72, how many bags do you have to buy?
BONUS: If each gift bag costs $1.75 how much will you have to pay?
Answer: 5 gift bags
BONUS: $8.75